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Finding the Fourth Proportional to 471.90, 651.15 and 285.42

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Solution

The fourth proportional to 471.90, 651.15 and 285.42 is: 393.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    471.90 : 651.15 = 285.42 : x
  2. Step 2: Convert to fraction form
    471.90/651.15 = 285.42/x
  3. Step 3: Cross multiply
    471.90x = 651.15 × 285.42
  4. Step 4: Simplify right side
    471.90x = 185,851.23
  5. Step 5: Solve for x
    x = 185,851.23/471.90
  6. Step 6: Final answer
    x = 393.84

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.